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Finding the Fourth Proportional to 10,188.88, 14,060.16 and 5,713.12

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Solution

The fourth proportional to 10,188.88, 14,060.16 and 5,713.12 is: 7,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.88 : 14,060.16 = 5,713.12 : x
  2. Step 2: Convert to fraction form
    10,188.88/14,060.16 = 5,713.12/x
  3. Step 3: Cross multiply
    10,188.88x = 14,060.16 × 5,713.12
  4. Step 4: Simplify right side
    10,188.88x = 80,327,381.30
  5. Step 5: Solve for x
    x = 80,327,381.30/10,188.88
  6. Step 6: Final answer
    x = 7,883.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.